A priority encoder is a combinational circuit that implements a priority function. The operation of the

priority encoder is such that if two or more inputs are equal to $1$ at the same time, the input having the

highest priority takes precedence. The truth table for a four$-$input priority encoder is given below.

With the use of X$\text{'}$s$,$ this condensed truth table with just five rows represents the same information as

the usual $16-$row truth table.

Determine the logic functions $A_1$ and $A_0$